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IMC 2012 Q6

IMCCurrent spec5 marksGeometry & Angles

6. Triangle \(QRS\) is isosceles and right-angled.
Beatrix reflects the P-shape in the side \(QR\) to get an image.
She reflects the first image in the side \(QS\) to get a second image.
Finally, she reflects the second image in the side \(RS\) to get a third image.
What does the third image look like?

Five images of the P-shape labelled A to E, each reflected or rotated differently
A right-angled isosceles triangle QRS with the right angle at Q, S above Q and R to the right; a letter P stands below the side QR

Intermediate Mathematical Challenge 2012, Question 6. © UK Mathematics Trust. Original paper on ukmt.org.uk

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